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482979131089 = 7413210912
BaseRepresentation
bin1110000011100111100…
…11001010111011010001
31201011122122102222120021
413001303303022323101
530403120124143324
61005513314543441
746615446610000
oct7016363127321
91634578388507
10482979131089
11176915145794
1279730897b81
1336710a2b900
141953a870c37
15c86b6d7ae4
hex7073ccaed1

482979131089 has 45 divisors (see below), whose sum is σ = 610677546459. Its totient is φ = 381787071120.

The previous prime is 482979131081. The next prime is 482979131093. The reversal of 482979131089 is 980131979284.

The square root of 482979131089 is 694967.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71446617025 + 411532514064 = 267295^2 + 641508^2 .

It is not a de Polignac number, because 482979131089 - 23 = 482979131081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (482979131081) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 442693434 + ... + 442694524.

Almost surely, 2482979131089 is an apocalyptic number.

482979131089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

482979131089 is the 694967-th square number.

482979131089 is the 347484-th centered octagonal number.

It is an amenable number.

482979131089 is a deficient number, since it is larger than the sum of its proper divisors (127698415370).

482979131089 is an frugal number, since it uses more digits than its factorization.

482979131089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 61.

The spelling of 482979131089 in words is "four hundred eighty-two billion, nine hundred seventy-nine million, one hundred thirty-one thousand, eighty-nine".

Divisors: 1 7 13 49 91 169 343 637 1091 1183 2401 4459 7637 8281 14183 31213 53459 57967 99281 184379 374213 405769 694967 1190281 1290653 2619491 4864769 8331967 9034571 15473653 34053383 58323769 63241997 108315571 201157489 408266383 442693979 758208997 1408102423 2857864681 5307462979 9856716961 37152240853 68997018727 482979131089